Finite Group Databasebeta

C4×#11758217 #16840723

order3904
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4

Aliases

direct productC4×#11758217

Splittings

SylowC61 ⋊ C4×M16

Subgroups

subgroupG/H
centerC2×C4C2×#6923
commutatorC2×C61C2×C42
FrattiniC22C22×#6923
FittingC22×C4×C61C4
socleC22×C61C22×C4
prime radicalC23×C61C2×C4
cosocleC2×Dic61C23
hypercenterC22×C4#6923
hypocenterC61C4×M16
LCSG ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C22×C4

142 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1952

Conjugacy classes & character table

280 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3904, 1510);